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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 163254.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
163254.e1 | 163254dc1 | \([1, 1, 0, -103938, -12984876]\) | \(-25727239787761/101406816\) | \(-489471332130144\) | \([]\) | \(842400\) | \(1.6763\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 163254.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 163254.e do not have complex multiplication.Modular form 163254.2.a.e
sage: E.q_eigenform(10)